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Finding the Fourth Proportional to 1,035.44, 1,435.06 and 1,016.00

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Solution

The fourth proportional to 1,035.44, 1,435.06 and 1,016.00 is: 1,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.44 : 1,435.06 = 1,016.00 : x
  2. Step 2: Convert to fraction form
    1,035.44/1,435.06 = 1,016.00/x
  3. Step 3: Cross multiply
    1,035.44x = 1,435.06 × 1,016.00
  4. Step 4: Simplify right side
    1,035.44x = 1,458,011.24
  5. Step 5: Solve for x
    x = 1,458,011.24/1,035.44
  6. Step 6: Final answer
    x = 1,408.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.